What is the Greatest Common Factor of 74864 and 74881?

Greatest common factor (GCF) of 74864 and 74881 is 1.

GCF(74864,74881) = 1

We will now calculate the prime factors of 74864 and 74881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74864 and 74881.

How to find the GCF of 74864 and 74881?

We will first find the prime factorization of 74864 and 74881. After we will calculate the factors of 74864 and 74881 and find the biggest common factor number .

Step-1: Prime Factorization of 74864

Prime factors of 74864 are 2, 4679. Prime factorization of 74864 in exponential form is:

74864 = 2⁴ × 4679¹

Step-2: Prime Factorization of 74881

Prime factors of 74881 are 103, 727. Prime factorization of 74881 in exponential form is:

74881 = 103¹ × 727¹

Step-3: Factors of 74864

List of positive integer factors of 74864 that divides 74864 without a remainder.

1, 2, 4, 8, 16, 4679, 9358, 18716, 37432

Step-4: Factors of 74881

List of positive integer factors of 74881 that divides 74864 without a remainder.

1, 103, 727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74864 and 74881. The biggest common factor number is the GCF number.
So the greatest common factor 74864 and 74881 is 1.

Also check out the Least Common Multiple of 74864 and 74881